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Finding the Fourth Proportional to 58.16, 86.68 and 58.07

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Solution

The fourth proportional to 58.16, 86.68 and 58.07 is: 86.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 86.68 = 58.07 : x
  2. Step 2: Convert to fraction form
    58.16/86.68 = 58.07/x
  3. Step 3: Cross multiply
    58.16x = 86.68 × 58.07
  4. Step 4: Simplify right side
    58.16x = 5,033.51
  5. Step 5: Solve for x
    x = 5,033.51/58.16
  6. Step 6: Final answer
    x = 86.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.