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Finding the Fourth Proportional to 314.15, 433.51 and 176.15

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Solution

The fourth proportional to 314.15, 433.51 and 176.15 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 433.51 = 176.15 : x
  2. Step 2: Convert to fraction form
    314.15/433.51 = 176.15/x
  3. Step 3: Cross multiply
    314.15x = 433.51 × 176.15
  4. Step 4: Simplify right side
    314.15x = 76,360.62
  5. Step 5: Solve for x
    x = 76,360.62/314.15
  6. Step 6: Final answer
    x = 243.07

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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.