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Finding the Fourth Proportional to 65.64, 99.18 and 64.98

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Solution

The fourth proportional to 65.64, 99.18 and 64.98 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 99.18 = 64.98 : x
  2. Step 2: Convert to fraction form
    65.64/99.18 = 64.98/x
  3. Step 3: Cross multiply
    65.64x = 99.18 × 64.98
  4. Step 4: Simplify right side
    65.64x = 6,444.72
  5. Step 5: Solve for x
    x = 6,444.72/65.64
  6. Step 6: Final answer
    x = 98.18

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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.