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Finding the Fourth Proportional to 525.51, 786.60 and 281.29

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Solution

The fourth proportional to 525.51, 786.60 and 281.29 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 786.60 = 281.29 : x
  2. Step 2: Convert to fraction form
    525.51/786.60 = 281.29/x
  3. Step 3: Cross multiply
    525.51x = 786.60 × 281.29
  4. Step 4: Simplify right side
    525.51x = 221,262.71
  5. Step 5: Solve for x
    x = 221,262.71/525.51
  6. Step 6: Final answer
    x = 421.04

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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.