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Finding the Fourth Proportional to 152.93, 211.10 and 90.77

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Solution

The fourth proportional to 152.93, 211.10 and 90.77 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.93 : 211.10 = 90.77 : x
  2. Step 2: Convert to fraction form
    152.93/211.10 = 90.77/x
  3. Step 3: Cross multiply
    152.93x = 211.10 × 90.77
  4. Step 4: Simplify right side
    152.93x = 19,160.04
  5. Step 5: Solve for x
    x = 19,160.04/152.93
  6. Step 6: Final answer
    x = 125.29

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Why These Related Problems?

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