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Finding the Fourth Proportional to 437.74, 603.82 and 258.34

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Solution

The fourth proportional to 437.74, 603.82 and 258.34 is: 356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.74 : 603.82 = 258.34 : x
  2. Step 2: Convert to fraction form
    437.74/603.82 = 258.34/x
  3. Step 3: Cross multiply
    437.74x = 603.82 × 258.34
  4. Step 4: Simplify right side
    437.74x = 155,989.71
  5. Step 5: Solve for x
    x = 155,989.71/437.74
  6. Step 6: Final answer
    x = 356.35

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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.