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Finding the Fourth Proportional to 187.60, 282.52 and 151.60

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Solution

The fourth proportional to 187.60, 282.52 and 151.60 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 282.52 = 151.60 : x
  2. Step 2: Convert to fraction form
    187.60/282.52 = 151.60/x
  3. Step 3: Cross multiply
    187.60x = 282.52 × 151.60
  4. Step 4: Simplify right side
    187.60x = 42,830.03
  5. Step 5: Solve for x
    x = 42,830.03/187.60
  6. Step 6: Final answer
    x = 228.31

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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.