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Finding the Fourth Proportional to 561.48, 841.80 and 214.68

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Solution

The fourth proportional to 561.48, 841.80 and 214.68 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 841.80 = 214.68 : x
  2. Step 2: Convert to fraction form
    561.48/841.80 = 214.68/x
  3. Step 3: Cross multiply
    561.48x = 841.80 × 214.68
  4. Step 4: Simplify right side
    561.48x = 180,717.62
  5. Step 5: Solve for x
    x = 180,717.62/561.48
  6. Step 6: Final answer
    x = 321.86

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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.