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Finding the Fourth Proportional to 564.21, 846.18 and 271.53

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Solution

The fourth proportional to 564.21, 846.18 and 271.53 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 846.18 = 271.53 : x
  2. Step 2: Convert to fraction form
    564.21/846.18 = 271.53/x
  3. Step 3: Cross multiply
    564.21x = 846.18 × 271.53
  4. Step 4: Simplify right side
    564.21x = 229,763.26
  5. Step 5: Solve for x
    x = 229,763.26/564.21
  6. Step 6: Final answer
    x = 407.23

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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.