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Finding the Fourth Proportional to 319.37, 476.56 and 286.51

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Solution

The fourth proportional to 319.37, 476.56 and 286.51 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.37 : 476.56 = 286.51 : x
  2. Step 2: Convert to fraction form
    319.37/476.56 = 286.51/x
  3. Step 3: Cross multiply
    319.37x = 476.56 × 286.51
  4. Step 4: Simplify right side
    319.37x = 136,539.80
  5. Step 5: Solve for x
    x = 136,539.80/319.37
  6. Step 6: Final answer
    x = 427.53

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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.