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Finding the Fourth Proportional to 401.52, 598.88 and 366.42

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Solution

The fourth proportional to 401.52, 598.88 and 366.42 is: 546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 598.88 = 366.42 : x
  2. Step 2: Convert to fraction form
    401.52/598.88 = 366.42/x
  3. Step 3: Cross multiply
    401.52x = 598.88 × 366.42
  4. Step 4: Simplify right side
    401.52x = 219,441.61
  5. Step 5: Solve for x
    x = 219,441.61/401.52
  6. Step 6: Final answer
    x = 546.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.