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Finding the Fourth Proportional to 313.68, 432.61 and 224.98

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Solution

The fourth proportional to 313.68, 432.61 and 224.98 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 432.61 = 224.98 : x
  2. Step 2: Convert to fraction form
    313.68/432.61 = 224.98/x
  3. Step 3: Cross multiply
    313.68x = 432.61 × 224.98
  4. Step 4: Simplify right side
    313.68x = 97,328.60
  5. Step 5: Solve for x
    x = 97,328.60/313.68
  6. Step 6: Final answer
    x = 310.28

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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.