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Finding the Fourth Proportional to 548.10, 821.70 and 291.60

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Solution

The fourth proportional to 548.10, 821.70 and 291.60 is: 437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 821.70 = 291.60 : x
  2. Step 2: Convert to fraction form
    548.10/821.70 = 291.60/x
  3. Step 3: Cross multiply
    548.10x = 821.70 × 291.60
  4. Step 4: Simplify right side
    548.10x = 239,607.72
  5. Step 5: Solve for x
    x = 239,607.72/548.10
  6. Step 6: Final answer
    x = 437.16

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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.