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Finding the Fourth Proportional to 52.16, 78.55 and 45.48

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Solution

The fourth proportional to 52.16, 78.55 and 45.48 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 78.55 = 45.48 : x
  2. Step 2: Convert to fraction form
    52.16/78.55 = 45.48/x
  3. Step 3: Cross multiply
    52.16x = 78.55 × 45.48
  4. Step 4: Simplify right side
    52.16x = 3,572.45
  5. Step 5: Solve for x
    x = 3,572.45/52.16
  6. Step 6: Final answer
    x = 68.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.