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Finding the Fourth Proportional to 443.48, 612.60 and 402.08

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Solution

The fourth proportional to 443.48, 612.60 and 402.08 is: 555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 612.60 = 402.08 : x
  2. Step 2: Convert to fraction form
    443.48/612.60 = 402.08/x
  3. Step 3: Cross multiply
    443.48x = 612.60 × 402.08
  4. Step 4: Simplify right side
    443.48x = 246,314.21
  5. Step 5: Solve for x
    x = 246,314.21/443.48
  6. Step 6: Final answer
    x = 555.41

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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.