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Finding the Fourth Proportional to 191.64, 264.16 and 146.88

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Solution

The fourth proportional to 191.64, 264.16 and 146.88 is: 202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 264.16 = 146.88 : x
  2. Step 2: Convert to fraction form
    191.64/264.16 = 146.88/x
  3. Step 3: Cross multiply
    191.64x = 264.16 × 146.88
  4. Step 4: Simplify right side
    191.64x = 38,799.82
  5. Step 5: Solve for x
    x = 38,799.82/191.64
  6. Step 6: Final answer
    x = 202.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.