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Finding the Fourth Proportional to 419.78, 630.48 and 355.34

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Solution

The fourth proportional to 419.78, 630.48 and 355.34 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.78 : 630.48 = 355.34 : x
  2. Step 2: Convert to fraction form
    419.78/630.48 = 355.34/x
  3. Step 3: Cross multiply
    419.78x = 630.48 × 355.34
  4. Step 4: Simplify right side
    419.78x = 224,034.76
  5. Step 5: Solve for x
    x = 224,034.76/419.78
  6. Step 6: Final answer
    x = 533.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.