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Finding the Fourth Proportional to 459.51, 633.93 and 293.68

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Solution

The fourth proportional to 459.51, 633.93 and 293.68 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 633.93 = 293.68 : x
  2. Step 2: Convert to fraction form
    459.51/633.93 = 293.68/x
  3. Step 3: Cross multiply
    459.51x = 633.93 × 293.68
  4. Step 4: Simplify right side
    459.51x = 186,172.56
  5. Step 5: Solve for x
    x = 186,172.56/459.51
  6. Step 6: Final answer
    x = 405.15

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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.