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Finding the Fourth Proportional to 64.19, 96.80 and 59.18

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Solution

The fourth proportional to 64.19, 96.80 and 59.18 is: 89.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.19 : 96.80 = 59.18 : x
  2. Step 2: Convert to fraction form
    64.19/96.80 = 59.18/x
  3. Step 3: Cross multiply
    64.19x = 96.80 × 59.18
  4. Step 4: Simplify right side
    64.19x = 5,728.29
  5. Step 5: Solve for x
    x = 5,728.29/64.19
  6. Step 6: Final answer
    x = 89.24

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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.