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Finding the Fourth Proportional to 64.20, 88.36 and 64.08

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Solution

The fourth proportional to 64.20, 88.36 and 64.08 is: 88.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.20 : 88.36 = 64.08 : x
  2. Step 2: Convert to fraction form
    64.20/88.36 = 64.08/x
  3. Step 3: Cross multiply
    64.20x = 88.36 × 64.08
  4. Step 4: Simplify right side
    64.20x = 5,662.11
  5. Step 5: Solve for x
    x = 5,662.11/64.20
  6. Step 6: Final answer
    x = 88.19

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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.