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Finding the Fourth Proportional to 437.55, 603.85 and 271.77

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Solution

The fourth proportional to 437.55, 603.85 and 271.77 is: 375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.55 : 603.85 = 271.77 : x
  2. Step 2: Convert to fraction form
    437.55/603.85 = 271.77/x
  3. Step 3: Cross multiply
    437.55x = 603.85 × 271.77
  4. Step 4: Simplify right side
    437.55x = 164,108.31
  5. Step 5: Solve for x
    x = 164,108.31/437.55
  6. Step 6: Final answer
    x = 375.06

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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.