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Finding the Fourth Proportional to 160.71, 221.63 and 146.13

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Solution

The fourth proportional to 160.71, 221.63 and 146.13 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 221.63 = 146.13 : x
  2. Step 2: Convert to fraction form
    160.71/221.63 = 146.13/x
  3. Step 3: Cross multiply
    160.71x = 221.63 × 146.13
  4. Step 4: Simplify right side
    160.71x = 32,386.79
  5. Step 5: Solve for x
    x = 32,386.79/160.71
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.