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Finding the Fourth Proportional to 502.51, 753.40 and 228.46

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Solution

The fourth proportional to 502.51, 753.40 and 228.46 is: 342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.51 : 753.40 = 228.46 : x
  2. Step 2: Convert to fraction form
    502.51/753.40 = 228.46/x
  3. Step 3: Cross multiply
    502.51x = 753.40 × 228.46
  4. Step 4: Simplify right side
    502.51x = 172,121.76
  5. Step 5: Solve for x
    x = 172,121.76/502.51
  6. Step 6: Final answer
    x = 342.52

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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.