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Finding the Fourth Proportional to 56.21, 77.51 and 52.23

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Solution

The fourth proportional to 56.21, 77.51 and 52.23 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.21 : 77.51 = 52.23 : x
  2. Step 2: Convert to fraction form
    56.21/77.51 = 52.23/x
  3. Step 3: Cross multiply
    56.21x = 77.51 × 52.23
  4. Step 4: Simplify right side
    56.21x = 4,048.35
  5. Step 5: Solve for x
    x = 4,048.35/56.21
  6. Step 6: Final answer
    x = 72.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.