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Finding the Fourth Proportional to 561.50, 841.46 and 214.46

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Solution

The fourth proportional to 561.50, 841.46 and 214.46 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 841.46 = 214.46 : x
  2. Step 2: Convert to fraction form
    561.50/841.46 = 214.46/x
  3. Step 3: Cross multiply
    561.50x = 841.46 × 214.46
  4. Step 4: Simplify right side
    561.50x = 180,459.51
  5. Step 5: Solve for x
    x = 180,459.51/561.50
  6. Step 6: Final answer
    x = 321.39

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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.