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Finding the Fourth Proportional to 320.17, 478.74 and 228.58

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Solution

The fourth proportional to 320.17, 478.74 and 228.58 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 478.74 = 228.58 : x
  2. Step 2: Convert to fraction form
    320.17/478.74 = 228.58/x
  3. Step 3: Cross multiply
    320.17x = 478.74 × 228.58
  4. Step 4: Simplify right side
    320.17x = 109,429.19
  5. Step 5: Solve for x
    x = 109,429.19/320.17
  6. Step 6: Final answer
    x = 341.79

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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.