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Finding the Fourth Proportional to 430.89, 648.86 and 309.99

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Solution

The fourth proportional to 430.89, 648.86 and 309.99 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 648.86 = 309.99 : x
  2. Step 2: Convert to fraction form
    430.89/648.86 = 309.99/x
  3. Step 3: Cross multiply
    430.89x = 648.86 × 309.99
  4. Step 4: Simplify right side
    430.89x = 201,138.56
  5. Step 5: Solve for x
    x = 201,138.56/430.89
  6. Step 6: Final answer
    x = 466.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.