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Finding the Fourth Proportional to 370.09, 510.67 and 230.30

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Solution

The fourth proportional to 370.09, 510.67 and 230.30 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.09 : 510.67 = 230.30 : x
  2. Step 2: Convert to fraction form
    370.09/510.67 = 230.30/x
  3. Step 3: Cross multiply
    370.09x = 510.67 × 230.30
  4. Step 4: Simplify right side
    370.09x = 117,607.30
  5. Step 5: Solve for x
    x = 117,607.30/370.09
  6. Step 6: Final answer
    x = 317.78

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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.