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Finding the Fourth Proportional to 373.55, 560.23 and 312.25

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Solution

The fourth proportional to 373.55, 560.23 and 312.25 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.55 : 560.23 = 312.25 : x
  2. Step 2: Convert to fraction form
    373.55/560.23 = 312.25/x
  3. Step 3: Cross multiply
    373.55x = 560.23 × 312.25
  4. Step 4: Simplify right side
    373.55x = 174,927.46
  5. Step 5: Solve for x
    x = 174,927.46/373.55
  6. Step 6: Final answer
    x = 468.28

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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.