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Finding the Fourth Proportional to 373.05, 557.13 and 312.23

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Solution

The fourth proportional to 373.05, 557.13 and 312.23 is: 466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.05 : 557.13 = 312.23 : x
  2. Step 2: Convert to fraction form
    373.05/557.13 = 312.23/x
  3. Step 3: Cross multiply
    373.05x = 557.13 × 312.23
  4. Step 4: Simplify right side
    373.05x = 173,955.26
  5. Step 5: Solve for x
    x = 173,955.26/373.05
  6. Step 6: Final answer
    x = 466.31

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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.