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Finding the Fourth Proportional to 320.17, 479.77 and 146.74

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Solution

The fourth proportional to 320.17, 479.77 and 146.74 is: 219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 479.77 = 146.74 : x
  2. Step 2: Convert to fraction form
    320.17/479.77 = 146.74/x
  3. Step 3: Cross multiply
    320.17x = 479.77 × 146.74
  4. Step 4: Simplify right side
    320.17x = 70,401.45
  5. Step 5: Solve for x
    x = 70,401.45/320.17
  6. Step 6: Final answer
    x = 219.89

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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.