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Finding the Fourth Proportional to 561.53, 841.83 and 214.67

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Solution

The fourth proportional to 561.53, 841.83 and 214.67 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 841.83 = 214.67 : x
  2. Step 2: Convert to fraction form
    561.53/841.83 = 214.67/x
  3. Step 3: Cross multiply
    561.53x = 841.83 × 214.67
  4. Step 4: Simplify right side
    561.53x = 180,712.21
  5. Step 5: Solve for x
    x = 180,712.21/561.53
  6. Step 6: Final answer
    x = 321.82

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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.