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Finding the Fourth Proportional to 407.14, 610.56 and 147.07

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Solution

The fourth proportional to 407.14, 610.56 and 147.07 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 610.56 = 147.07 : x
  2. Step 2: Convert to fraction form
    407.14/610.56 = 147.07/x
  3. Step 3: Cross multiply
    407.14x = 610.56 × 147.07
  4. Step 4: Simplify right side
    407.14x = 89,792.01
  5. Step 5: Solve for x
    x = 89,792.01/407.14
  6. Step 6: Final answer
    x = 220.55

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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.