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Finding the Fourth Proportional to 564.34, 846.49 and 256.12

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Solution

The fourth proportional to 564.34, 846.49 and 256.12 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 846.49 = 256.12 : x
  2. Step 2: Convert to fraction form
    564.34/846.49 = 256.12/x
  3. Step 3: Cross multiply
    564.34x = 846.49 × 256.12
  4. Step 4: Simplify right side
    564.34x = 216,803.02
  5. Step 5: Solve for x
    x = 216,803.02/564.34
  6. Step 6: Final answer
    x = 384.17

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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.