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Finding the Fourth Proportional to 317.04, 472.76 and 284.64

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Solution

The fourth proportional to 317.04, 472.76 and 284.64 is: 424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 472.76 = 284.64 : x
  2. Step 2: Convert to fraction form
    317.04/472.76 = 284.64/x
  3. Step 3: Cross multiply
    317.04x = 472.76 × 284.64
  4. Step 4: Simplify right side
    317.04x = 134,566.41
  5. Step 5: Solve for x
    x = 134,566.41/317.04
  6. Step 6: Final answer
    x = 424.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.