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Finding the Fourth Proportional to 208.91, 314.58 and 151.53

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Solution

The fourth proportional to 208.91, 314.58 and 151.53 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 314.58 = 151.53 : x
  2. Step 2: Convert to fraction form
    208.91/314.58 = 151.53/x
  3. Step 3: Cross multiply
    208.91x = 314.58 × 151.53
  4. Step 4: Simplify right side
    208.91x = 47,668.31
  5. Step 5: Solve for x
    x = 47,668.31/208.91
  6. Step 6: Final answer
    x = 228.18

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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.