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Finding the Fourth Proportional to 370.28, 510.09 and 259.56

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Solution

The fourth proportional to 370.28, 510.09 and 259.56 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 510.09 = 259.56 : x
  2. Step 2: Convert to fraction form
    370.28/510.09 = 259.56/x
  3. Step 3: Cross multiply
    370.28x = 510.09 × 259.56
  4. Step 4: Simplify right side
    370.28x = 132,398.96
  5. Step 5: Solve for x
    x = 132,398.96/370.28
  6. Step 6: Final answer
    x = 357.57

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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.