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Finding the Fourth Proportional to 373.22, 560.10 and 257.36

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Solution

The fourth proportional to 373.22, 560.10 and 257.36 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.22 : 560.10 = 257.36 : x
  2. Step 2: Convert to fraction form
    373.22/560.10 = 257.36/x
  3. Step 3: Cross multiply
    373.22x = 560.10 × 257.36
  4. Step 4: Simplify right side
    373.22x = 144,147.34
  5. Step 5: Solve for x
    x = 144,147.34/373.22
  6. Step 6: Final answer
    x = 386.23

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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.