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Finding the Fourth Proportional to 342.52, 512.66 and 309.70

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Solution

The fourth proportional to 342.52, 512.66 and 309.70 is: 463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.52 : 512.66 = 309.70 : x
  2. Step 2: Convert to fraction form
    342.52/512.66 = 309.70/x
  3. Step 3: Cross multiply
    342.52x = 512.66 × 309.70
  4. Step 4: Simplify right side
    342.52x = 158,769.25
  5. Step 5: Solve for x
    x = 158,769.25/342.52
  6. Step 6: Final answer
    x = 463.53

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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.