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Finding the Fourth Proportional to 424.70, 586 and 238.20

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Solution

The fourth proportional to 424.70, 586 and 238.20 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 586 = 238.20 : x
  2. Step 2: Convert to fraction form
    424.70/586 = 238.20/x
  3. Step 3: Cross multiply
    424.70x = 586 × 238.20
  4. Step 4: Simplify right side
    424.70x = 139,585.20
  5. Step 5: Solve for x
    x = 139,585.20/424.70
  6. Step 6: Final answer
    x = 328.67

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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.