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Finding the Fourth Proportional to 336.59, 463.53 and 315.76

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Solution

The fourth proportional to 336.59, 463.53 and 315.76 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.59 : 463.53 = 315.76 : x
  2. Step 2: Convert to fraction form
    336.59/463.53 = 315.76/x
  3. Step 3: Cross multiply
    336.59x = 463.53 × 315.76
  4. Step 4: Simplify right side
    336.59x = 146,364.23
  5. Step 5: Solve for x
    x = 146,364.23/336.59
  6. Step 6: Final answer
    x = 434.84

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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.