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Finding the Fourth Proportional to 503.11, 753.96 and 242.95

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Solution

The fourth proportional to 503.11, 753.96 and 242.95 is: 364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.11 : 753.96 = 242.95 : x
  2. Step 2: Convert to fraction form
    503.11/753.96 = 242.95/x
  3. Step 3: Cross multiply
    503.11x = 753.96 × 242.95
  4. Step 4: Simplify right side
    503.11x = 183,174.58
  5. Step 5: Solve for x
    x = 183,174.58/503.11
  6. Step 6: Final answer
    x = 364.08

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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.