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Finding the Fourth Proportional to 530.75, 732.48 and 309.72

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Solution

The fourth proportional to 530.75, 732.48 and 309.72 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 732.48 = 309.72 : x
  2. Step 2: Convert to fraction form
    530.75/732.48 = 309.72/x
  3. Step 3: Cross multiply
    530.75x = 732.48 × 309.72
  4. Step 4: Simplify right side
    530.75x = 226,865.29
  5. Step 5: Solve for x
    x = 226,865.29/530.75
  6. Step 6: Final answer
    x = 427.44

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Find fourth proportional to 265.38, 366.24 and 154.86
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.