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Finding the Fourth Proportional to 340.53, 469.62 and 228.75

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Solution

The fourth proportional to 340.53, 469.62 and 228.75 is: 315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 469.62 = 228.75 : x
  2. Step 2: Convert to fraction form
    340.53/469.62 = 228.75/x
  3. Step 3: Cross multiply
    340.53x = 469.62 × 228.75
  4. Step 4: Simplify right side
    340.53x = 107,425.58
  5. Step 5: Solve for x
    x = 107,425.58/340.53
  6. Step 6: Final answer
    x = 315.47

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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.