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Finding the Fourth Proportional to 170.14, 256.14 and 152.50

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Solution

The fourth proportional to 170.14, 256.14 and 152.50 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 256.14 = 152.50 : x
  2. Step 2: Convert to fraction form
    170.14/256.14 = 152.50/x
  3. Step 3: Cross multiply
    170.14x = 256.14 × 152.50
  4. Step 4: Simplify right side
    170.14x = 39,060.59
  5. Step 5: Solve for x
    x = 39,060.59/170.14
  6. Step 6: Final answer
    x = 229.58

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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.