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Finding the Fourth Proportional to 242.42, 364.93 and 208.93

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Solution

The fourth proportional to 242.42, 364.93 and 208.93 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.42 : 364.93 = 208.93 : x
  2. Step 2: Convert to fraction form
    242.42/364.93 = 208.93/x
  3. Step 3: Cross multiply
    242.42x = 364.93 × 208.93
  4. Step 4: Simplify right side
    242.42x = 76,241.96
  5. Step 5: Solve for x
    x = 76,241.96/242.42
  6. Step 6: Final answer
    x = 314.50

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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.