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Finding the Fourth Proportional to 313.15, 432.23 and 208.19

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Solution

The fourth proportional to 313.15, 432.23 and 208.19 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.15 : 432.23 = 208.19 : x
  2. Step 2: Convert to fraction form
    313.15/432.23 = 208.19/x
  3. Step 3: Cross multiply
    313.15x = 432.23 × 208.19
  4. Step 4: Simplify right side
    313.15x = 89,985.96
  5. Step 5: Solve for x
    x = 89,985.96/313.15
  6. Step 6: Final answer
    x = 287.36

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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.