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Finding the Fourth Proportional to 403.04, 557.20 and 385.80

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Solution

The fourth proportional to 403.04, 557.20 and 385.80 is: 533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.04 : 557.20 = 385.80 : x
  2. Step 2: Convert to fraction form
    403.04/557.20 = 385.80/x
  3. Step 3: Cross multiply
    403.04x = 557.20 × 385.80
  4. Step 4: Simplify right side
    403.04x = 214,967.76
  5. Step 5: Solve for x
    x = 214,967.76/403.04
  6. Step 6: Final answer
    x = 533.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.