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Finding the Fourth Proportional to 438.34, 660.58 and 395.06

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Solution

The fourth proportional to 438.34, 660.58 and 395.06 is: 595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 660.58 = 395.06 : x
  2. Step 2: Convert to fraction form
    438.34/660.58 = 395.06/x
  3. Step 3: Cross multiply
    438.34x = 660.58 × 395.06
  4. Step 4: Simplify right side
    438.34x = 260,968.73
  5. Step 5: Solve for x
    x = 260,968.73/438.34
  6. Step 6: Final answer
    x = 595.36

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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.