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Finding the Fourth Proportional to 384.64, 573.13 and 366.04

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Solution

The fourth proportional to 384.64, 573.13 and 366.04 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 573.13 = 366.04 : x
  2. Step 2: Convert to fraction form
    384.64/573.13 = 366.04/x
  3. Step 3: Cross multiply
    384.64x = 573.13 × 366.04
  4. Step 4: Simplify right side
    384.64x = 209,788.51
  5. Step 5: Solve for x
    x = 209,788.51/384.64
  6. Step 6: Final answer
    x = 545.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.