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Finding the Fourth Proportional to 433.02, 650.07 and 278.40

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Solution

The fourth proportional to 433.02, 650.07 and 278.40 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 650.07 = 278.40 : x
  2. Step 2: Convert to fraction form
    433.02/650.07 = 278.40/x
  3. Step 3: Cross multiply
    433.02x = 650.07 × 278.40
  4. Step 4: Simplify right side
    433.02x = 180,979.49
  5. Step 5: Solve for x
    x = 180,979.49/433.02
  6. Step 6: Final answer
    x = 417.95

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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.