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Finding the Fourth Proportional to 530.15, 794.61 and 256.50

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Solution

The fourth proportional to 530.15, 794.61 and 256.50 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.15 : 794.61 = 256.50 : x
  2. Step 2: Convert to fraction form
    530.15/794.61 = 256.50/x
  3. Step 3: Cross multiply
    530.15x = 794.61 × 256.50
  4. Step 4: Simplify right side
    530.15x = 203,817.47
  5. Step 5: Solve for x
    x = 203,817.47/530.15
  6. Step 6: Final answer
    x = 384.46

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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.