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Finding the Fourth Proportional to 285.51, 430.37 and 262.11

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Solution

The fourth proportional to 285.51, 430.37 and 262.11 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.51 : 430.37 = 262.11 : x
  2. Step 2: Convert to fraction form
    285.51/430.37 = 262.11/x
  3. Step 3: Cross multiply
    285.51x = 430.37 × 262.11
  4. Step 4: Simplify right side
    285.51x = 112,804.28
  5. Step 5: Solve for x
    x = 112,804.28/285.51
  6. Step 6: Final answer
    x = 395.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.