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Finding the Fourth Proportional to 113.32, 156.38 and 64.21

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Solution

The fourth proportional to 113.32, 156.38 and 64.21 is: 88.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 156.38 = 64.21 : x
  2. Step 2: Convert to fraction form
    113.32/156.38 = 64.21/x
  3. Step 3: Cross multiply
    113.32x = 156.38 × 64.21
  4. Step 4: Simplify right side
    113.32x = 10,041.16
  5. Step 5: Solve for x
    x = 10,041.16/113.32
  6. Step 6: Final answer
    x = 88.61

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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.