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Finding the Fourth Proportional to 294.56, 442.45 and 284.32

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Solution

The fourth proportional to 294.56, 442.45 and 284.32 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 442.45 = 284.32 : x
  2. Step 2: Convert to fraction form
    294.56/442.45 = 284.32/x
  3. Step 3: Cross multiply
    294.56x = 442.45 × 284.32
  4. Step 4: Simplify right side
    294.56x = 125,796.67
  5. Step 5: Solve for x
    x = 125,796.67/294.56
  6. Step 6: Final answer
    x = 427.07

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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.