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Finding the Fourth Proportional to 438.08, 654.28 and 346.88

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Solution

The fourth proportional to 438.08, 654.28 and 346.88 is: 518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.08 : 654.28 = 346.88 : x
  2. Step 2: Convert to fraction form
    438.08/654.28 = 346.88/x
  3. Step 3: Cross multiply
    438.08x = 654.28 × 346.88
  4. Step 4: Simplify right side
    438.08x = 226,956.65
  5. Step 5: Solve for x
    x = 226,956.65/438.08
  6. Step 6: Final answer
    x = 518.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.