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Finding the Fourth Proportional to 482.51, 666.14 and 296.07

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Solution

The fourth proportional to 482.51, 666.14 and 296.07 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.51 : 666.14 = 296.07 : x
  2. Step 2: Convert to fraction form
    482.51/666.14 = 296.07/x
  3. Step 3: Cross multiply
    482.51x = 666.14 × 296.07
  4. Step 4: Simplify right side
    482.51x = 197,222.59
  5. Step 5: Solve for x
    x = 197,222.59/482.51
  6. Step 6: Final answer
    x = 408.75

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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.