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Finding the Fourth Proportional to 342.65, 513.61 and 147.74

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Solution

The fourth proportional to 342.65, 513.61 and 147.74 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 513.61 = 147.74 : x
  2. Step 2: Convert to fraction form
    342.65/513.61 = 147.74/x
  3. Step 3: Cross multiply
    342.65x = 513.61 × 147.74
  4. Step 4: Simplify right side
    342.65x = 75,880.74
  5. Step 5: Solve for x
    x = 75,880.74/342.65
  6. Step 6: Final answer
    x = 221.45

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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.