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Finding the Fourth Proportional to 305.22, 457.02 and 232.08

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Solution

The fourth proportional to 305.22, 457.02 and 232.08 is: 347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.22 : 457.02 = 232.08 : x
  2. Step 2: Convert to fraction form
    305.22/457.02 = 232.08/x
  3. Step 3: Cross multiply
    305.22x = 457.02 × 232.08
  4. Step 4: Simplify right side
    305.22x = 106,065.20
  5. Step 5: Solve for x
    x = 106,065.20/305.22
  6. Step 6: Final answer
    x = 347.50

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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.