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Finding the Fourth Proportional to 407.40, 614.14 and 372.80

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Solution

The fourth proportional to 407.40, 614.14 and 372.80 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 614.14 = 372.80 : x
  2. Step 2: Convert to fraction form
    407.40/614.14 = 372.80/x
  3. Step 3: Cross multiply
    407.40x = 614.14 × 372.80
  4. Step 4: Simplify right side
    407.40x = 228,951.39
  5. Step 5: Solve for x
    x = 228,951.39/407.40
  6. Step 6: Final answer
    x = 561.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.