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Finding the Fourth Proportional to 417.84, 626.56 and 212.50

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Solution

The fourth proportional to 417.84, 626.56 and 212.50 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 626.56 = 212.50 : x
  2. Step 2: Convert to fraction form
    417.84/626.56 = 212.50/x
  3. Step 3: Cross multiply
    417.84x = 626.56 × 212.50
  4. Step 4: Simplify right side
    417.84x = 133,144
  5. Step 5: Solve for x
    x = 133,144/417.84
  6. Step 6: Final answer
    x = 318.65

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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.