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Finding the Fourth Proportional to 187.77, 282.30 and 151.95

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Solution

The fourth proportional to 187.77, 282.30 and 151.95 is: 228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.77 : 282.30 = 151.95 : x
  2. Step 2: Convert to fraction form
    187.77/282.30 = 151.95/x
  3. Step 3: Cross multiply
    187.77x = 282.30 × 151.95
  4. Step 4: Simplify right side
    187.77x = 42,895.49
  5. Step 5: Solve for x
    x = 42,895.49/187.77
  6. Step 6: Final answer
    x = 228.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.