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Finding the Fourth Proportional to 109.30, 150.88 and 65.63

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Solution

The fourth proportional to 109.30, 150.88 and 65.63 is: 90.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 150.88 = 65.63 : x
  2. Step 2: Convert to fraction form
    109.30/150.88 = 65.63/x
  3. Step 3: Cross multiply
    109.30x = 150.88 × 65.63
  4. Step 4: Simplify right side
    109.30x = 9,901.34
  5. Step 5: Solve for x
    x = 9,901.34/109.30
  6. Step 6: Final answer
    x = 90.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.