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Finding the Fourth Proportional to 437.28, 602.93 and 312.89

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Solution

The fourth proportional to 437.28, 602.93 and 312.89 is: 431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 602.93 = 312.89 : x
  2. Step 2: Convert to fraction form
    437.28/602.93 = 312.89/x
  3. Step 3: Cross multiply
    437.28x = 602.93 × 312.89
  4. Step 4: Simplify right side
    437.28x = 188,646.19
  5. Step 5: Solve for x
    x = 188,646.19/437.28
  6. Step 6: Final answer
    x = 431.41

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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.