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Finding the Fourth Proportional to 466.51, 644.12 and 309.47

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Solution

The fourth proportional to 466.51, 644.12 and 309.47 is: 427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.51 : 644.12 = 309.47 : x
  2. Step 2: Convert to fraction form
    466.51/644.12 = 309.47/x
  3. Step 3: Cross multiply
    466.51x = 644.12 × 309.47
  4. Step 4: Simplify right side
    466.51x = 199,337.02
  5. Step 5: Solve for x
    x = 199,337.02/466.51
  6. Step 6: Final answer
    x = 427.29

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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.