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Finding the Fourth Proportional to 406.24, 556.30 and 384.04

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Solution

The fourth proportional to 406.24, 556.30 and 384.04 is: 525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 556.30 = 384.04 : x
  2. Step 2: Convert to fraction form
    406.24/556.30 = 384.04/x
  3. Step 3: Cross multiply
    406.24x = 556.30 × 384.04
  4. Step 4: Simplify right side
    406.24x = 213,641.45
  5. Step 5: Solve for x
    x = 213,641.45/406.24
  6. Step 6: Final answer
    x = 525.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.