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Finding the Fourth Proportional to 430.40, 592.80 and 347.36

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Solution

The fourth proportional to 430.40, 592.80 and 347.36 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.40 : 592.80 = 347.36 : x
  2. Step 2: Convert to fraction form
    430.40/592.80 = 347.36/x
  3. Step 3: Cross multiply
    430.40x = 592.80 × 347.36
  4. Step 4: Simplify right side
    430.40x = 205,915.01
  5. Step 5: Solve for x
    x = 205,915.01/430.40
  6. Step 6: Final answer
    x = 478.43

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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.