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Finding the Fourth Proportional to 438.13, 660.34 and 377.98

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Solution

The fourth proportional to 438.13, 660.34 and 377.98 is: 569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.13 : 660.34 = 377.98 : x
  2. Step 2: Convert to fraction form
    438.13/660.34 = 377.98/x
  3. Step 3: Cross multiply
    438.13x = 660.34 × 377.98
  4. Step 4: Simplify right side
    438.13x = 249,595.31
  5. Step 5: Solve for x
    x = 249,595.31/438.13
  6. Step 6: Final answer
    x = 569.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.