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Finding the Fourth Proportional to 402.80, 555.93 and 315.32

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Solution

The fourth proportional to 402.80, 555.93 and 315.32 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 555.93 = 315.32 : x
  2. Step 2: Convert to fraction form
    402.80/555.93 = 315.32/x
  3. Step 3: Cross multiply
    402.80x = 555.93 × 315.32
  4. Step 4: Simplify right side
    402.80x = 175,293.07
  5. Step 5: Solve for x
    x = 175,293.07/402.80
  6. Step 6: Final answer
    x = 435.19

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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.