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Finding the Fourth Proportional to 437.24, 602.64 and 319.20

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Solution

The fourth proportional to 437.24, 602.64 and 319.20 is: 439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.24 : 602.64 = 319.20 : x
  2. Step 2: Convert to fraction form
    437.24/602.64 = 319.20/x
  3. Step 3: Cross multiply
    437.24x = 602.64 × 319.20
  4. Step 4: Simplify right side
    437.24x = 192,362.69
  5. Step 5: Solve for x
    x = 192,362.69/437.24
  6. Step 6: Final answer
    x = 439.95

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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.