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Finding the Fourth Proportional to 370.29, 510.80 and 259.86

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Solution

The fourth proportional to 370.29, 510.80 and 259.86 is: 358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.29 : 510.80 = 259.86 : x
  2. Step 2: Convert to fraction form
    370.29/510.80 = 259.86/x
  3. Step 3: Cross multiply
    370.29x = 510.80 × 259.86
  4. Step 4: Simplify right side
    370.29x = 132,735.19
  5. Step 5: Solve for x
    x = 132,735.19/370.29
  6. Step 6: Final answer
    x = 358.46

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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.