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Finding the Fourth Proportional to 421.35, 630.54 and 364.25

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Solution

The fourth proportional to 421.35, 630.54 and 364.25 is: 545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.35 : 630.54 = 364.25 : x
  2. Step 2: Convert to fraction form
    421.35/630.54 = 364.25/x
  3. Step 3: Cross multiply
    421.35x = 630.54 × 364.25
  4. Step 4: Simplify right side
    421.35x = 229,671.04
  5. Step 5: Solve for x
    x = 229,671.04/421.35
  6. Step 6: Final answer
    x = 545.08

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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.