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Finding the Fourth Proportional to 364.68, 503.82 and 307.44

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Solution

The fourth proportional to 364.68, 503.82 and 307.44 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 503.82 = 307.44 : x
  2. Step 2: Convert to fraction form
    364.68/503.82 = 307.44/x
  3. Step 3: Cross multiply
    364.68x = 503.82 × 307.44
  4. Step 4: Simplify right side
    364.68x = 154,894.42
  5. Step 5: Solve for x
    x = 154,894.42/364.68
  6. Step 6: Final answer
    x = 424.74

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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.