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Finding the Fourth Proportional to 370.09, 510.87 and 245.71

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Solution

The fourth proportional to 370.09, 510.87 and 245.71 is: 339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.09 : 510.87 = 245.71 : x
  2. Step 2: Convert to fraction form
    370.09/510.87 = 245.71/x
  3. Step 3: Cross multiply
    370.09x = 510.87 × 245.71
  4. Step 4: Simplify right side
    370.09x = 125,527.43
  5. Step 5: Solve for x
    x = 125,527.43/370.09
  6. Step 6: Final answer
    x = 339.18

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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.