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Finding the Fourth Proportional to 58.16, 79.82 and 52.67

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Solution

The fourth proportional to 58.16, 79.82 and 52.67 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 79.82 = 52.67 : x
  2. Step 2: Convert to fraction form
    58.16/79.82 = 52.67/x
  3. Step 3: Cross multiply
    58.16x = 79.82 × 52.67
  4. Step 4: Simplify right side
    58.16x = 4,203.46
  5. Step 5: Solve for x
    x = 4,203.46/58.16
  6. Step 6: Final answer
    x = 72.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.