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Finding the Fourth Proportional to 437.13, 602.24 and 305.91

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Solution

The fourth proportional to 437.13, 602.24 and 305.91 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 602.24 = 305.91 : x
  2. Step 2: Convert to fraction form
    437.13/602.24 = 305.91/x
  3. Step 3: Cross multiply
    437.13x = 602.24 × 305.91
  4. Step 4: Simplify right side
    437.13x = 184,229.71
  5. Step 5: Solve for x
    x = 184,229.71/437.13
  6. Step 6: Final answer
    x = 421.45

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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.