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Finding the Fourth Proportional to 564.23, 846.24 and 256.01

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Solution

The fourth proportional to 564.23, 846.24 and 256.01 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.23 : 846.24 = 256.01 : x
  2. Step 2: Convert to fraction form
    564.23/846.24 = 256.01/x
  3. Step 3: Cross multiply
    564.23x = 846.24 × 256.01
  4. Step 4: Simplify right side
    564.23x = 216,645.16
  5. Step 5: Solve for x
    x = 216,645.16/564.23
  6. Step 6: Final answer
    x = 383.97

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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.