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Finding the Fourth Proportional to 530.17, 732 and 355.75

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Solution

The fourth proportional to 530.17, 732 and 355.75 is: 491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.17 : 732 = 355.75 : x
  2. Step 2: Convert to fraction form
    530.17/732 = 355.75/x
  3. Step 3: Cross multiply
    530.17x = 732 × 355.75
  4. Step 4: Simplify right side
    530.17x = 260,409
  5. Step 5: Solve for x
    x = 260,409/530.17
  6. Step 6: Final answer
    x = 491.18

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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.