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Finding the Fourth Proportional to 317.65, 438.35 and 177.77

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Solution

The fourth proportional to 317.65, 438.35 and 177.77 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.65 : 438.35 = 177.77 : x
  2. Step 2: Convert to fraction form
    317.65/438.35 = 177.77/x
  3. Step 3: Cross multiply
    317.65x = 438.35 × 177.77
  4. Step 4: Simplify right side
    317.65x = 77,927.02
  5. Step 5: Solve for x
    x = 77,927.02/317.65
  6. Step 6: Final answer
    x = 245.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.