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Finding the Fourth Proportional to 373.66, 560.33 and 145.50

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Solution

The fourth proportional to 373.66, 560.33 and 145.50 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.66 : 560.33 = 145.50 : x
  2. Step 2: Convert to fraction form
    373.66/560.33 = 145.50/x
  3. Step 3: Cross multiply
    373.66x = 560.33 × 145.50
  4. Step 4: Simplify right side
    373.66x = 81,528.02
  5. Step 5: Solve for x
    x = 81,528.02/373.66
  6. Step 6: Final answer
    x = 218.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.