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Finding the Fourth Proportional to 442.58, 663.66 and 260.06

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Solution

The fourth proportional to 442.58, 663.66 and 260.06 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.58 : 663.66 = 260.06 : x
  2. Step 2: Convert to fraction form
    442.58/663.66 = 260.06/x
  3. Step 3: Cross multiply
    442.58x = 663.66 × 260.06
  4. Step 4: Simplify right side
    442.58x = 172,588.10
  5. Step 5: Solve for x
    x = 172,588.10/442.58
  6. Step 6: Final answer
    x = 389.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.