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Finding the Fourth Proportional to 418.72, 577.53 and 278.77

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Solution

The fourth proportional to 418.72, 577.53 and 278.77 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.72 : 577.53 = 278.77 : x
  2. Step 2: Convert to fraction form
    418.72/577.53 = 278.77/x
  3. Step 3: Cross multiply
    418.72x = 577.53 × 278.77
  4. Step 4: Simplify right side
    418.72x = 160,998.04
  5. Step 5: Solve for x
    x = 160,998.04/418.72
  6. Step 6: Final answer
    x = 384.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.