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Finding the Fourth Proportional to 530.08, 731.12 and 364.32

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Solution

The fourth proportional to 530.08, 731.12 and 364.32 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 731.12 = 364.32 : x
  2. Step 2: Convert to fraction form
    530.08/731.12 = 364.32/x
  3. Step 3: Cross multiply
    530.08x = 731.12 × 364.32
  4. Step 4: Simplify right side
    530.08x = 266,361.64
  5. Step 5: Solve for x
    x = 266,361.64/530.08
  6. Step 6: Final answer
    x = 502.49

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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.