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Finding the Fourth Proportional to 342.54, 511.02 and 281.48

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Solution

The fourth proportional to 342.54, 511.02 and 281.48 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 511.02 = 281.48 : x
  2. Step 2: Convert to fraction form
    342.54/511.02 = 281.48/x
  3. Step 3: Cross multiply
    342.54x = 511.02 × 281.48
  4. Step 4: Simplify right side
    342.54x = 143,841.91
  5. Step 5: Solve for x
    x = 143,841.91/342.54
  6. Step 6: Final answer
    x = 419.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.