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Finding the Fourth Proportional to 433.37, 649.14 and 278.51

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Solution

The fourth proportional to 433.37, 649.14 and 278.51 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.37 : 649.14 = 278.51 : x
  2. Step 2: Convert to fraction form
    433.37/649.14 = 278.51/x
  3. Step 3: Cross multiply
    433.37x = 649.14 × 278.51
  4. Step 4: Simplify right side
    433.37x = 180,788.74
  5. Step 5: Solve for x
    x = 180,788.74/433.37
  6. Step 6: Final answer
    x = 417.17

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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.