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Finding the Fourth Proportional to 561.40, 841.56 and 214.52

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Solution

The fourth proportional to 561.40, 841.56 and 214.52 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 841.56 = 214.52 : x
  2. Step 2: Convert to fraction form
    561.40/841.56 = 214.52/x
  3. Step 3: Cross multiply
    561.40x = 841.56 × 214.52
  4. Step 4: Simplify right side
    561.40x = 180,526.44
  5. Step 5: Solve for x
    x = 180,526.44/561.40
  6. Step 6: Final answer
    x = 321.57

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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.