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Finding the Fourth Proportional to 370, 510.46 and 230.10

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Solution

The fourth proportional to 370, 510.46 and 230.10 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370 : 510.46 = 230.10 : x
  2. Step 2: Convert to fraction form
    370/510.46 = 230.10/x
  3. Step 3: Cross multiply
    370x = 510.46 × 230.10
  4. Step 4: Simplify right side
    370x = 117,456.85
  5. Step 5: Solve for x
    x = 117,456.85/370
  6. Step 6: Final answer
    x = 317.45

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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.