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Finding the Fourth Proportional to 295.18, 442.53 and 256.57

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Solution

The fourth proportional to 295.18, 442.53 and 256.57 is: 384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 442.53 = 256.57 : x
  2. Step 2: Convert to fraction form
    295.18/442.53 = 256.57/x
  3. Step 3: Cross multiply
    295.18x = 442.53 × 256.57
  4. Step 4: Simplify right side
    295.18x = 113,539.92
  5. Step 5: Solve for x
    x = 113,539.92/295.18
  6. Step 6: Final answer
    x = 384.65

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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.