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Finding the Fourth Proportional to 345.98, 515.85 and 342.38

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Solution

The fourth proportional to 345.98, 515.85 and 342.38 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 515.85 = 342.38 : x
  2. Step 2: Convert to fraction form
    345.98/515.85 = 342.38/x
  3. Step 3: Cross multiply
    345.98x = 515.85 × 342.38
  4. Step 4: Simplify right side
    345.98x = 176,616.72
  5. Step 5: Solve for x
    x = 176,616.72/345.98
  6. Step 6: Final answer
    x = 510.48

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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.