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Finding the Fourth Proportional to 530.23, 795.47 and 205.63

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Solution

The fourth proportional to 530.23, 795.47 and 205.63 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.23 : 795.47 = 205.63 : x
  2. Step 2: Convert to fraction form
    530.23/795.47 = 205.63/x
  3. Step 3: Cross multiply
    530.23x = 795.47 × 205.63
  4. Step 4: Simplify right side
    530.23x = 163,572.50
  5. Step 5: Solve for x
    x = 163,572.50/530.23
  6. Step 6: Final answer
    x = 308.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.