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Finding the Fourth Proportional to 52.63, 72.55 and 42.25

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Solution

The fourth proportional to 52.63, 72.55 and 42.25 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.63 : 72.55 = 42.25 : x
  2. Step 2: Convert to fraction form
    52.63/72.55 = 42.25/x
  3. Step 3: Cross multiply
    52.63x = 72.55 × 42.25
  4. Step 4: Simplify right side
    52.63x = 3,065.24
  5. Step 5: Solve for x
    x = 3,065.24/52.63
  6. Step 6: Final answer
    x = 58.24

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