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Finding the Fourth Proportional to 477.65, 716.71 and 234.05

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Solution

The fourth proportional to 477.65, 716.71 and 234.05 is: 351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 716.71 = 234.05 : x
  2. Step 2: Convert to fraction form
    477.65/716.71 = 234.05/x
  3. Step 3: Cross multiply
    477.65x = 716.71 × 234.05
  4. Step 4: Simplify right side
    477.65x = 167,741.81
  5. Step 5: Solve for x
    x = 167,741.81/477.65
  6. Step 6: Final answer
    x = 351.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.