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Finding the Fourth Proportional to 503.18, 754.20 and 286.40

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Solution

The fourth proportional to 503.18, 754.20 and 286.40 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 754.20 = 286.40 : x
  2. Step 2: Convert to fraction form
    503.18/754.20 = 286.40/x
  3. Step 3: Cross multiply
    503.18x = 754.20 × 286.40
  4. Step 4: Simplify right side
    503.18x = 216,002.88
  5. Step 5: Solve for x
    x = 216,002.88/503.18
  6. Step 6: Final answer
    x = 429.28

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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.