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Finding the Fourth Proportional to 602.38, 830.95 and 366.40

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Solution

The fourth proportional to 602.38, 830.95 and 366.40 is: 505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.38 : 830.95 = 366.40 : x
  2. Step 2: Convert to fraction form
    602.38/830.95 = 366.40/x
  3. Step 3: Cross multiply
    602.38x = 830.95 × 366.40
  4. Step 4: Simplify right side
    602.38x = 304,460.08
  5. Step 5: Solve for x
    x = 304,460.08/602.38
  6. Step 6: Final answer
    x = 505.43

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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.