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Finding the Fourth Proportional to 370.06, 510.38 and 259.40

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Solution

The fourth proportional to 370.06, 510.38 and 259.40 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.06 : 510.38 = 259.40 : x
  2. Step 2: Convert to fraction form
    370.06/510.38 = 259.40/x
  3. Step 3: Cross multiply
    370.06x = 510.38 × 259.40
  4. Step 4: Simplify right side
    370.06x = 132,392.57
  5. Step 5: Solve for x
    x = 132,392.57/370.06
  6. Step 6: Final answer
    x = 357.76

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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.