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Finding the Fourth Proportional to 287.77, 429.42 and 257.00

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Solution

The fourth proportional to 287.77, 429.42 and 257.00 is: 383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.77 : 429.42 = 257.00 : x
  2. Step 2: Convert to fraction form
    287.77/429.42 = 257.00/x
  3. Step 3: Cross multiply
    287.77x = 429.42 × 257.00
  4. Step 4: Simplify right side
    287.77x = 110,362.98
  5. Step 5: Solve for x
    x = 110,362.98/287.77
  6. Step 6: Final answer
    x = 383.51

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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.