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Finding the Fourth Proportional to 308.53, 459.95 and 293.14

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Solution

The fourth proportional to 308.53, 459.95 and 293.14 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.53 : 459.95 = 293.14 : x
  2. Step 2: Convert to fraction form
    308.53/459.95 = 293.14/x
  3. Step 3: Cross multiply
    308.53x = 459.95 × 293.14
  4. Step 4: Simplify right side
    308.53x = 134,829.74
  5. Step 5: Solve for x
    x = 134,829.74/308.53
  6. Step 6: Final answer
    x = 437.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.