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Finding the Fourth Proportional to 314.10, 468.54 and 309.06

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Solution

The fourth proportional to 314.10, 468.54 and 309.06 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 468.54 = 309.06 : x
  2. Step 2: Convert to fraction form
    314.10/468.54 = 309.06/x
  3. Step 3: Cross multiply
    314.10x = 468.54 × 309.06
  4. Step 4: Simplify right side
    314.10x = 144,806.97
  5. Step 5: Solve for x
    x = 144,806.97/314.10
  6. Step 6: Final answer
    x = 461.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.