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Finding the Fourth Proportional to 342.93, 511.98 and 282.18

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Solution

The fourth proportional to 342.93, 511.98 and 282.18 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 511.98 = 282.18 : x
  2. Step 2: Convert to fraction form
    342.93/511.98 = 282.18/x
  3. Step 3: Cross multiply
    342.93x = 511.98 × 282.18
  4. Step 4: Simplify right side
    342.93x = 144,470.52
  5. Step 5: Solve for x
    x = 144,470.52/342.93
  6. Step 6: Final answer
    x = 421.28

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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.