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Finding the Fourth Proportional to 160.68, 239.55 and 148.64

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Solution

The fourth proportional to 160.68, 239.55 and 148.64 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 239.55 = 148.64 : x
  2. Step 2: Convert to fraction form
    160.68/239.55 = 148.64/x
  3. Step 3: Cross multiply
    160.68x = 239.55 × 148.64
  4. Step 4: Simplify right side
    160.68x = 35,606.71
  5. Step 5: Solve for x
    x = 35,606.71/160.68
  6. Step 6: Final answer
    x = 221.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.