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Finding the Fourth Proportional to 364.71, 503.78 and 316.47

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Solution

The fourth proportional to 364.71, 503.78 and 316.47 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 503.78 = 316.47 : x
  2. Step 2: Convert to fraction form
    364.71/503.78 = 316.47/x
  3. Step 3: Cross multiply
    364.71x = 503.78 × 316.47
  4. Step 4: Simplify right side
    364.71x = 159,429.67
  5. Step 5: Solve for x
    x = 159,429.67/364.71
  6. Step 6: Final answer
    x = 437.14

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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.