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Finding the Fourth Proportional to 421.06, 630.87 and 355.99

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Solution

The fourth proportional to 421.06, 630.87 and 355.99 is: 533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 630.87 = 355.99 : x
  2. Step 2: Convert to fraction form
    421.06/630.87 = 355.99/x
  3. Step 3: Cross multiply
    421.06x = 630.87 × 355.99
  4. Step 4: Simplify right side
    421.06x = 224,583.41
  5. Step 5: Solve for x
    x = 224,583.41/421.06
  6. Step 6: Final answer
    x = 533.38

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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.