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Finding the Fourth Proportional to 314.19, 433.58 and 176.19

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Solution

The fourth proportional to 314.19, 433.58 and 176.19 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 433.58 = 176.19 : x
  2. Step 2: Convert to fraction form
    314.19/433.58 = 176.19/x
  3. Step 3: Cross multiply
    314.19x = 433.58 × 176.19
  4. Step 4: Simplify right side
    314.19x = 76,391.38
  5. Step 5: Solve for x
    x = 76,391.38/314.19
  6. Step 6: Final answer
    x = 243.14

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1.5x scale

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.