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Finding the Fourth Proportional to 152.81, 210.80 and 93.75

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Solution

The fourth proportional to 152.81, 210.80 and 93.75 is: 129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 210.80 = 93.75 : x
  2. Step 2: Convert to fraction form
    152.81/210.80 = 93.75/x
  3. Step 3: Cross multiply
    152.81x = 210.80 × 93.75
  4. Step 4: Simplify right side
    152.81x = 19,762.50
  5. Step 5: Solve for x
    x = 19,762.50/152.81
  6. Step 6: Final answer
    x = 129.33

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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.