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Finding the Fourth Proportional to 78.22, 117.26 and 58.02

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Solution

The fourth proportional to 78.22, 117.26 and 58.02 is: 86.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.22 : 117.26 = 58.02 : x
  2. Step 2: Convert to fraction form
    78.22/117.26 = 58.02/x
  3. Step 3: Cross multiply
    78.22x = 117.26 × 58.02
  4. Step 4: Simplify right side
    78.22x = 6,803.50
  5. Step 5: Solve for x
    x = 6,803.50/78.22
  6. Step 6: Final answer
    x = 86.98

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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.