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Finding the Fourth Proportional to 561.68, 841.74 and 214.64

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Solution

The fourth proportional to 561.68, 841.74 and 214.64 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 841.74 = 214.64 : x
  2. Step 2: Convert to fraction form
    561.68/841.74 = 214.64/x
  3. Step 3: Cross multiply
    561.68x = 841.74 × 214.64
  4. Step 4: Simplify right side
    561.68x = 180,669.22
  5. Step 5: Solve for x
    x = 180,669.22/561.68
  6. Step 6: Final answer
    x = 321.66

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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.