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Finding the Fourth Proportional to 342.83, 514.08 and 99.29

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Solution

The fourth proportional to 342.83, 514.08 and 99.29 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.83 : 514.08 = 99.29 : x
  2. Step 2: Convert to fraction form
    342.83/514.08 = 99.29/x
  3. Step 3: Cross multiply
    342.83x = 514.08 × 99.29
  4. Step 4: Simplify right side
    342.83x = 51,044.29
  5. Step 5: Solve for x
    x = 51,044.29/342.83
  6. Step 6: Final answer
    x = 148.89

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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.