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Finding the Fourth Proportional to 452.60, 678.98 and 160.14

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Solution

The fourth proportional to 452.60, 678.98 and 160.14 is: 240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.60 : 678.98 = 160.14 : x
  2. Step 2: Convert to fraction form
    452.60/678.98 = 160.14/x
  3. Step 3: Cross multiply
    452.60x = 678.98 × 160.14
  4. Step 4: Simplify right side
    452.60x = 108,731.06
  5. Step 5: Solve for x
    x = 108,731.06/452.60
  6. Step 6: Final answer
    x = 240.24

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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.