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Finding the Fourth Proportional to 433.12, 648.06 and 288.04

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Solution

The fourth proportional to 433.12, 648.06 and 288.04 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 648.06 = 288.04 : x
  2. Step 2: Convert to fraction form
    433.12/648.06 = 288.04/x
  3. Step 3: Cross multiply
    433.12x = 648.06 × 288.04
  4. Step 4: Simplify right side
    433.12x = 186,667.20
  5. Step 5: Solve for x
    x = 186,667.20/433.12
  6. Step 6: Final answer
    x = 430.98

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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.