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Finding the Fourth Proportional to 313.01, 432.02 and 182.03

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Solution

The fourth proportional to 313.01, 432.02 and 182.03 is: 251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.01 : 432.02 = 182.03 : x
  2. Step 2: Convert to fraction form
    313.01/432.02 = 182.03/x
  3. Step 3: Cross multiply
    313.01x = 432.02 × 182.03
  4. Step 4: Simplify right side
    313.01x = 78,639.69
  5. Step 5: Solve for x
    x = 78,639.69/313.01
  6. Step 6: Final answer
    x = 251.24

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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.