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Finding the Fourth Proportional to 149.71, 223.30 and 145.15

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Solution

The fourth proportional to 149.71, 223.30 and 145.15 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.71 : 223.30 = 145.15 : x
  2. Step 2: Convert to fraction form
    149.71/223.30 = 145.15/x
  3. Step 3: Cross multiply
    149.71x = 223.30 × 145.15
  4. Step 4: Simplify right side
    149.71x = 32,411.07
  5. Step 5: Solve for x
    x = 32,411.07/149.71
  6. Step 6: Final answer
    x = 216.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.