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Finding the Fourth Proportional to 370.68, 511.38 and 259.98

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Solution

The fourth proportional to 370.68, 511.38 and 259.98 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.68 : 511.38 = 259.98 : x
  2. Step 2: Convert to fraction form
    370.68/511.38 = 259.98/x
  3. Step 3: Cross multiply
    370.68x = 511.38 × 259.98
  4. Step 4: Simplify right side
    370.68x = 132,948.57
  5. Step 5: Solve for x
    x = 132,948.57/370.68
  6. Step 6: Final answer
    x = 358.66

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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.