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Finding the Fourth Proportional to 215.58, 324.21 and 175.08

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Solution

The fourth proportional to 215.58, 324.21 and 175.08 is: 263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 324.21 = 175.08 : x
  2. Step 2: Convert to fraction form
    215.58/324.21 = 175.08/x
  3. Step 3: Cross multiply
    215.58x = 324.21 × 175.08
  4. Step 4: Simplify right side
    215.58x = 56,762.69
  5. Step 5: Solve for x
    x = 56,762.69/215.58
  6. Step 6: Final answer
    x = 263.30

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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.