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Finding the Fourth Proportional to 363.58, 545.55 and 256.06

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Solution

The fourth proportional to 363.58, 545.55 and 256.06 is: 384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 545.55 = 256.06 : x
  2. Step 2: Convert to fraction form
    363.58/545.55 = 256.06/x
  3. Step 3: Cross multiply
    363.58x = 545.55 × 256.06
  4. Step 4: Simplify right side
    363.58x = 139,693.53
  5. Step 5: Solve for x
    x = 139,693.53/363.58
  6. Step 6: Final answer
    x = 384.22

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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.