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Finding the Fourth Proportional to 170.68, 257.05 and 155.32

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Solution

The fourth proportional to 170.68, 257.05 and 155.32 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.68 : 257.05 = 155.32 : x
  2. Step 2: Convert to fraction form
    170.68/257.05 = 155.32/x
  3. Step 3: Cross multiply
    170.68x = 257.05 × 155.32
  4. Step 4: Simplify right side
    170.68x = 39,925.01
  5. Step 5: Solve for x
    x = 39,925.01/170.68
  6. Step 6: Final answer
    x = 233.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.