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Finding the Fourth Proportional to 290.47, 433.12 and 278.32

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Solution

The fourth proportional to 290.47, 433.12 and 278.32 is: 415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.47 : 433.12 = 278.32 : x
  2. Step 2: Convert to fraction form
    290.47/433.12 = 278.32/x
  3. Step 3: Cross multiply
    290.47x = 433.12 × 278.32
  4. Step 4: Simplify right side
    290.47x = 120,545.96
  5. Step 5: Solve for x
    x = 120,545.96/290.47
  6. Step 6: Final answer
    x = 415.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.