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Finding the Fourth Proportional to 369.97, 510.40 and 243.90

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Solution

The fourth proportional to 369.97, 510.40 and 243.90 is: 336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 510.40 = 243.90 : x
  2. Step 2: Convert to fraction form
    369.97/510.40 = 243.90/x
  3. Step 3: Cross multiply
    369.97x = 510.40 × 243.90
  4. Step 4: Simplify right side
    369.97x = 124,486.56
  5. Step 5: Solve for x
    x = 124,486.56/369.97
  6. Step 6: Final answer
    x = 336.48

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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.