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Finding the Fourth Proportional to 373.01, 513.80 and 313.93

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Solution

The fourth proportional to 373.01, 513.80 and 313.93 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.01 : 513.80 = 313.93 : x
  2. Step 2: Convert to fraction form
    373.01/513.80 = 313.93/x
  3. Step 3: Cross multiply
    373.01x = 513.80 × 313.93
  4. Step 4: Simplify right side
    373.01x = 161,294.38
  5. Step 5: Solve for x
    x = 161,294.38/373.01
  6. Step 6: Final answer
    x = 432.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.