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Finding the Fourth Proportional to 65.34, 90 and 45.90

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Solution

The fourth proportional to 65.34, 90 and 45.90 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 90 = 45.90 : x
  2. Step 2: Convert to fraction form
    65.34/90 = 45.90/x
  3. Step 3: Cross multiply
    65.34x = 90 × 45.90
  4. Step 4: Simplify right side
    65.34x = 4,131
  5. Step 5: Solve for x
    x = 4,131/65.34
  6. Step 6: Final answer
    x = 63.22

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1.5x scale

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.