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Finding the Fourth Proportional to 340.07, 466.48 and 337.15

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Solution

The fourth proportional to 340.07, 466.48 and 337.15 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 466.48 = 337.15 : x
  2. Step 2: Convert to fraction form
    340.07/466.48 = 337.15/x
  3. Step 3: Cross multiply
    340.07x = 466.48 × 337.15
  4. Step 4: Simplify right side
    340.07x = 157,270.22
  5. Step 5: Solve for x
    x = 157,270.22/340.07
  6. Step 6: Final answer
    x = 462.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.