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Finding the Fourth Proportional to 317.63, 476.52 and 89.63

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Solution

The fourth proportional to 317.63, 476.52 and 89.63 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 476.52 = 89.63 : x
  2. Step 2: Convert to fraction form
    317.63/476.52 = 89.63/x
  3. Step 3: Cross multiply
    317.63x = 476.52 × 89.63
  4. Step 4: Simplify right side
    317.63x = 42,710.49
  5. Step 5: Solve for x
    x = 42,710.49/317.63
  6. Step 6: Final answer
    x = 134.47

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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.