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Finding the Fourth Proportional to 328.32, 488.75 and 312.60

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Solution

The fourth proportional to 328.32, 488.75 and 312.60 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 488.75 = 312.60 : x
  2. Step 2: Convert to fraction form
    328.32/488.75 = 312.60/x
  3. Step 3: Cross multiply
    328.32x = 488.75 × 312.60
  4. Step 4: Simplify right side
    328.32x = 152,783.25
  5. Step 5: Solve for x
    x = 152,783.25/328.32
  6. Step 6: Final answer
    x = 465.35

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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.