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Finding the Fourth Proportional to 525.42, 786.65 and 278.06

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Solution

The fourth proportional to 525.42, 786.65 and 278.06 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 786.65 = 278.06 : x
  2. Step 2: Convert to fraction form
    525.42/786.65 = 278.06/x
  3. Step 3: Cross multiply
    525.42x = 786.65 × 278.06
  4. Step 4: Simplify right side
    525.42x = 218,737.21
  5. Step 5: Solve for x
    x = 218,737.21/525.42
  6. Step 6: Final answer
    x = 416.31

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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.