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Finding the Fourth Proportional to 187.30, 279.68 and 153.12

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Solution

The fourth proportional to 187.30, 279.68 and 153.12 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.30 : 279.68 = 153.12 : x
  2. Step 2: Convert to fraction form
    187.30/279.68 = 153.12/x
  3. Step 3: Cross multiply
    187.30x = 279.68 × 153.12
  4. Step 4: Simplify right side
    187.30x = 42,824.60
  5. Step 5: Solve for x
    x = 42,824.60/187.30
  6. Step 6: Final answer
    x = 228.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.