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Finding the Fourth Proportional to 315.09, 472.03 and 152.28

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Solution

The fourth proportional to 315.09, 472.03 and 152.28 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 472.03 = 152.28 : x
  2. Step 2: Convert to fraction form
    315.09/472.03 = 152.28/x
  3. Step 3: Cross multiply
    315.09x = 472.03 × 152.28
  4. Step 4: Simplify right side
    315.09x = 71,880.35
  5. Step 5: Solve for x
    x = 71,880.35/315.09
  6. Step 6: Final answer
    x = 228.13

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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.