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Finding the Fourth Proportional to 287.49, 430.74 and 257.07

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Solution

The fourth proportional to 287.49, 430.74 and 257.07 is: 385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 430.74 = 257.07 : x
  2. Step 2: Convert to fraction form
    287.49/430.74 = 257.07/x
  3. Step 3: Cross multiply
    287.49x = 430.74 × 257.07
  4. Step 4: Simplify right side
    287.49x = 110,730.33
  5. Step 5: Solve for x
    x = 110,730.33/287.49
  6. Step 6: Final answer
    x = 385.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.