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Finding the Fourth Proportional to 315.64, 470.04 and 297

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Solution

The fourth proportional to 315.64, 470.04 and 297 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.64 : 470.04 = 297 : x
  2. Step 2: Convert to fraction form
    315.64/470.04 = 297/x
  3. Step 3: Cross multiply
    315.64x = 470.04 × 297
  4. Step 4: Simplify right side
    315.64x = 139,601.88
  5. Step 5: Solve for x
    x = 139,601.88/315.64
  6. Step 6: Final answer
    x = 442.28

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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.