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Finding the Fourth Proportional to 420.93, 630.45 and 266.39

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Solution

The fourth proportional to 420.93, 630.45 and 266.39 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 630.45 = 266.39 : x
  2. Step 2: Convert to fraction form
    420.93/630.45 = 266.39/x
  3. Step 3: Cross multiply
    420.93x = 630.45 × 266.39
  4. Step 4: Simplify right side
    420.93x = 167,944.79
  5. Step 5: Solve for x
    x = 167,944.79/420.93
  6. Step 6: Final answer
    x = 398.99

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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.