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Finding the Fourth Proportional to 89.02, 122.64 and 64.30

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Solution

The fourth proportional to 89.02, 122.64 and 64.30 is: 88.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.02 : 122.64 = 64.30 : x
  2. Step 2: Convert to fraction form
    89.02/122.64 = 64.30/x
  3. Step 3: Cross multiply
    89.02x = 122.64 × 64.30
  4. Step 4: Simplify right side
    89.02x = 7,885.75
  5. Step 5: Solve for x
    x = 7,885.75/89.02
  6. Step 6: Final answer
    x = 88.58

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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.