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Finding the Fourth Proportional to 347.90, 478.58 and 313.07

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Solution

The fourth proportional to 347.90, 478.58 and 313.07 is: 430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 478.58 = 313.07 : x
  2. Step 2: Convert to fraction form
    347.90/478.58 = 313.07/x
  3. Step 3: Cross multiply
    347.90x = 478.58 × 313.07
  4. Step 4: Simplify right side
    347.90x = 149,825.08
  5. Step 5: Solve for x
    x = 149,825.08/347.90
  6. Step 6: Final answer
    x = 430.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.