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Finding the Fourth Proportional to 319.48, 478.80 and 145.89

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Solution

The fourth proportional to 319.48, 478.80 and 145.89 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.80 = 145.89 : x
  2. Step 2: Convert to fraction form
    319.48/478.80 = 145.89/x
  3. Step 3: Cross multiply
    319.48x = 478.80 × 145.89
  4. Step 4: Simplify right side
    319.48x = 69,852.13
  5. Step 5: Solve for x
    x = 69,852.13/319.48
  6. Step 6: Final answer
    x = 218.64

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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.