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Finding the Fourth Proportional to 384.91, 579.85 and 365.81

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Solution

The fourth proportional to 384.91, 579.85 and 365.81 is: 551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.91 : 579.85 = 365.81 : x
  2. Step 2: Convert to fraction form
    384.91/579.85 = 365.81/x
  3. Step 3: Cross multiply
    384.91x = 579.85 × 365.81
  4. Step 4: Simplify right side
    384.91x = 212,111.11
  5. Step 5: Solve for x
    x = 212,111.11/384.91
  6. Step 6: Final answer
    x = 551.07

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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.