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Finding the Fourth Proportional to 287.51, 429.04 and 256.83

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Solution

The fourth proportional to 287.51, 429.04 and 256.83 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.51 : 429.04 = 256.83 : x
  2. Step 2: Convert to fraction form
    287.51/429.04 = 256.83/x
  3. Step 3: Cross multiply
    287.51x = 429.04 × 256.83
  4. Step 4: Simplify right side
    287.51x = 110,189.06
  5. Step 5: Solve for x
    x = 110,189.06/287.51
  6. Step 6: Final answer
    x = 383.25

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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.