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Finding the Fourth Proportional to 158.64, 236.10 and 152.88

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Solution

The fourth proportional to 158.64, 236.10 and 152.88 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 236.10 = 152.88 : x
  2. Step 2: Convert to fraction form
    158.64/236.10 = 152.88/x
  3. Step 3: Cross multiply
    158.64x = 236.10 × 152.88
  4. Step 4: Simplify right side
    158.64x = 36,094.97
  5. Step 5: Solve for x
    x = 36,094.97/158.64
  6. Step 6: Final answer
    x = 227.53

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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.