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Finding the Fourth Proportional to 356.81, 532.64 and 310.67

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Solution

The fourth proportional to 356.81, 532.64 and 310.67 is: 463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 532.64 = 310.67 : x
  2. Step 2: Convert to fraction form
    356.81/532.64 = 310.67/x
  3. Step 3: Cross multiply
    356.81x = 532.64 × 310.67
  4. Step 4: Simplify right side
    356.81x = 165,473.38
  5. Step 5: Solve for x
    x = 165,473.38/356.81
  6. Step 6: Final answer
    x = 463.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.