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Finding the Fourth Proportional to 563.21, 844.74 and 152.38

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Solution

The fourth proportional to 563.21, 844.74 and 152.38 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.21 : 844.74 = 152.38 : x
  2. Step 2: Convert to fraction form
    563.21/844.74 = 152.38/x
  3. Step 3: Cross multiply
    563.21x = 844.74 × 152.38
  4. Step 4: Simplify right side
    563.21x = 128,721.48
  5. Step 5: Solve for x
    x = 128,721.48/563.21
  6. Step 6: Final answer
    x = 228.55

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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.