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Finding the Fourth Proportional to 317.68, 435.64 and 288.40

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Solution

The fourth proportional to 317.68, 435.64 and 288.40 is: 395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 435.64 = 288.40 : x
  2. Step 2: Convert to fraction form
    317.68/435.64 = 288.40/x
  3. Step 3: Cross multiply
    317.68x = 435.64 × 288.40
  4. Step 4: Simplify right side
    317.68x = 125,638.58
  5. Step 5: Solve for x
    x = 125,638.58/317.68
  6. Step 6: Final answer
    x = 395.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.