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Finding the Fourth Proportional to 365.40, 551.15 and 320.24

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Solution

The fourth proportional to 365.40, 551.15 and 320.24 is: 483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 551.15 = 320.24 : x
  2. Step 2: Convert to fraction form
    365.40/551.15 = 320.24/x
  3. Step 3: Cross multiply
    365.40x = 551.15 × 320.24
  4. Step 4: Simplify right side
    365.40x = 176,495.92
  5. Step 5: Solve for x
    x = 176,495.92/365.40
  6. Step 6: Final answer
    x = 483.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.