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Finding the Fourth Proportional to 434.81, 652.37 and 191.51

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Solution

The fourth proportional to 434.81, 652.37 and 191.51 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 652.37 = 191.51 : x
  2. Step 2: Convert to fraction form
    434.81/652.37 = 191.51/x
  3. Step 3: Cross multiply
    434.81x = 652.37 × 191.51
  4. Step 4: Simplify right side
    434.81x = 124,934.42
  5. Step 5: Solve for x
    x = 124,934.42/434.81
  6. Step 6: Final answer
    x = 287.33

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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.