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Finding the Fourth Proportional to 398.55, 597.62 and 155.15

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Solution

The fourth proportional to 398.55, 597.62 and 155.15 is: 232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 597.62 = 155.15 : x
  2. Step 2: Convert to fraction form
    398.55/597.62 = 155.15/x
  3. Step 3: Cross multiply
    398.55x = 597.62 × 155.15
  4. Step 4: Simplify right side
    398.55x = 92,718.14
  5. Step 5: Solve for x
    x = 92,718.14/398.55
  6. Step 6: Final answer
    x = 232.64

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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.